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Massless spinning test particles in a gravitational field

✍ Scribed by Bahram Mashhoon


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
250 KB
Volume
89
Category
Article
ISSN
0003-4916

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✦ Synopsis


The classical equations of motion of a massless spinning test particle are derived as a limiting case of Mathisson-Papapetrou equations. It is shown that when a particular supplementary condition is assumed the particle follows a null geodesic and the spin is either parallel or antiparallel to the direction of motion. Moreover, the helicity is conserved in an orientable spacetime. The equations of the propagation of the momentum vector and the spin tensor along the trajectory are given and further implications of the solution are discussed.


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The theory for a spin-two massless-particle field interacting with sources is developed, in parallel with Maxwell's theory for photons interacting with charges. In the spin-two case there are two fields Eij and &, which are symmetric traceless tensors of opposite parity. Whereas a Maxwell source mus